Exact azimuthal equatorially trapped waves with centripetal force in modified equatorial $$\beta $$-plane approximation and at arbitrary latitude

2021 ◽  
Author(s):  
Dong Su
Keyword(s):  
Centripetal Force ◽  
Trapped Waves ◽  
Beta Plane

Getting Rid of Fast Waves: Slow Dynamics

2018 ◽  
Author(s):  
Vladimir Zeitlin
Keyword(s):  
Rossby Waves ◽  
Baroclinic Instability ◽  
Nonlinear Effects ◽  
Kelvin Wave ◽  
Beta Plane ◽  
Equatorial Wave ◽  
Flow Over Topography ◽  
Wave Guides ◽  
Rotating Shallow Water ◽  
Fast Waves

After analysis of general properties of horizontal motion in primitive equations and introduction of principal parameters, the key notion of geostrophic equilibrium is introduced. Quasi-geostrophic reductions of one- and two-layer rotating shallow-water models are obtained by a direct filtering of fast inertia–gravity waves through a choice of the time scale of motions of interest, and by asymptotic expansions in Rossby number. Properties of quasi-geostrophic models are established. It is shown that in the beta-plane approximations the models describe Rossby waves. The first idea of the classical baroclinic instability is given, and its relation to Rossby waves is explained. Modifications of quasi-geostrophic dynamics in the presence of coastal, topographic, and equatorial wave-guides are analysed. Emission of mountain Rossby waves by a flow over topography is demonstrated. The phenomena of Kelvin wave breaking, and of soliton formation by long equatorial and topographic Rossby waves due to nonlinear effects are explained.

Measuring centripetal force

1990 ◽  
Vol 25 (3) ◽  
pp. 163-166 ◽  
Author(s):  
H S Fricker
Keyword(s):  
Centripetal Force

Steadily translating anticyclones on the beta plane

1992 ◽  
Vol 16 (6) ◽  
pp. 473-498 ◽  
Author(s):  
J. Nycander ◽  
G.G. Sutyrin
Keyword(s):  
Beta Plane

Effect of coastal-trapped waves on the synoptic variations of the Yellow Sea Warm Current during winter

2018 ◽  
Vol 167 ◽  
pp. 14-31 ◽  
Author(s):  
Yang Ding ◽  
Xianwen Bao ◽  
Zhigang Yao ◽  
Dehai Song ◽  
Jun Song ◽  
...  
Keyword(s):  
Yellow Sea ◽  
The Yellow Sea ◽  
Trapped Waves ◽  
Yellow Sea Warm Current ◽  
Warm Current ◽  
Coastal Trapped Waves
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